Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2009 | Oct-Nov | (P1-9709/12) | Q#2

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Question


i.   
Find, in terms of the non-zero constant ,  the first four terms in the expansion of  in ascending powers of .

   ii.     Given that the coefficients of  and  in this expansion are equal, find the value of .

Solution


i.
 

Expression for the Binomial expansion of  is:

In the given case:

Hence;


ii.
 

Since the coefficients of  and  in this expansion are equal

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